To convey a story or message, contemporary 3D animation utilizes a conventional continuity approach in which events are arranged in a smooth, sequential, and uninterrupted manner. The results of good continuity are coherence in visual perception and a seamless flow of action and events from one shot or sequence to another in all motion media. In making a film, continuity coupled with good editing principles and appropriate use of transitions in the post-production phase make for an organized shooting plan. In this article we discuss the potential of adapting a movable pop-up technique as a continuity element for the entire flow in 3D animation. This is done by integrating the technique within the animated story, transforming scenes, and narrating the story from one shot to another continuously by substituting basic editing transitions in a film. These findings demonstrate that movable pop-up animation affects animation timing and is incapable of achieving classical continuity (defined as making transitions as transparent as possible to the audience). Nevertheless, this technique is sufficient to create coherence in visual perception and establish a continuous flow of events within a distinct animation style.